From the diagram, which of the following is true?
m + n + p = 180o
m + n = 180o
m = p + n
n = m + p
Correct answer is D
In the diagram, \(\beta\) = p(vertically opposite angles)
m + \(\beta\) = n(sum of interior opp. angles)
m + p = n
8.60m
7.83m
7.51m
7.15m
Correct answer is D
In the diagram give, \(\alpha\) 50o(alternative angles)
tan\(\alpha\) = \(\frac{h}{6}\)
h = 6tan\(\alpha\)
= 6tan 50o
= 6 x 1.1918
= 7.1508
= 7.15m (2d.p)
19cm
18cm
17cm
12cm
Correct answer is A
From the diagram
sin 70o = \(\frac{x}{10}\)
x = 10sin 70o
= 9.3969
Hence, length of chord MN = 2x
= 2 x 9.3969
= 18.7938
= 19cm (nearest cm)
\(\frac{n}{2} + \frac{5}{2}\)
\(\frac{n}{2}\) - 5
5 - \(\frac{n}{2}\)
\(\frac{n}{2}\) + 5
Correct answer is D
Halima's age = n years old
Her brother's age = \(\frac{n}{2}\) + 5
30
24
18
12
Correct answer is B
Let a represent an interior angle; e represent an exterior angle. A section of the polygon is down in the diagram.
\(\frac{e}{a}\) = \(\frac{l}{11}\) given
a = 11e
a + e = 180o(angles on a straight line)
11e + e = 180o
12e = 180o
e = \(\frac{180^o}{12}\)
= 15o
Hence, number of sides
= \(\frac{360^o}{\tect{size of one exterior angle}\)
= \(\frac{360^o}{14^o}\)
= 24
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